Let $f(x)=x^4(1-x{)}^4$. What is the value of the sum

$f\left(\frac{1}{2023}\right)-f\left(\frac{2}{2023}\right)+f\left(\frac{3}{2023}\right)-f\left(\frac{4}{2023}\right)+\cdots +f\left(\frac{2021}{2023}\right)-f\left(\frac{2022}{2023}\right)$